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Q:

Two typists of varying skills can do a typing jobin6 minutesifthey work together.Ifthe first typist typed alone for 4 minutes and then the second typist typed alone for 6 minutes, they would be left with 1/5 of the whole work.Howmany minutes would it take the slower typist to complete the typing job working alone?

A) 10 minutes	B) 15 minutes
C) 12 minutes	D) 20 minutes

Answer & Explanation Answer: B) 15 minutes

Explanation:

Working efficiency of both typist together = 100/6 = 16.66%

Let the efficiency of first typist be x and second typist be (16.66 –x)

First typist for 4 minute + second tyoistfor 6 minute = 80% work

⇒4x + (16.66 –x) X 6 = 80%

⇒4x + 100% -6x = 80%,

⇒x = 10%

First typist typed 10% per minute, second typst typed (16.66 –10) = 6.66% per minute

Slowest is second typist complete whole job in 100/6.66 = 15.01 = 15 minute

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Filed Under: Time and Work
Exam Prep: Bank Exams

Q:

10 is added to a certain number, the sum is multiplied by 7, the product is divided by 5 and 5 is subtracted from the quotient. The remainder left is half of 88. What is the number?

A) 21	B) 20
C) 25	D) 30

Answer & Explanation Answer: C) 25

Explanation:

Let the number be x

When 10 is added, number = x + 10

When 7 is multiplied, number = 7 X (x + 10)

According to question,

⇒[7 X (x+10) / 5] –5 = 44

⇒7x + 70 = 49 X 5

⇒x + 10 = 35,

⇒x = 25

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Filed Under: Numbers
Exam Prep: Bank Exams

Q:

Find two natural numbers whose sum is 85 andtheleast common multiple is 102.

A) 30 & 55	B) 17 & 68
C) 35& 55	D) 51 & 34

Answer & Explanation Answer: D) 51 & 34

Explanation:

Let a + b = 85→b = 85 –a

LCM(a,b) =102→ab = 102

k→a(85 –a) = 102k, where k is a natural number.

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Filed Under: Numbers
Exam Prep: Bank Exams

Q:

There were 35 studentsina hostel.Ifthenumber of studentsbe increased by 7, the expenditure on food increases by Rs 42 per day while the average expenditure of studentsis reduced by Rs 1. What was the initial expenditure on food per day?

A) Rs 432	B) Rs 442
C) Rs 420	D) Rs 400

Answer & Explanation Answer: C) Rs 420

Explanation:

Let the original avg expenditure be x

Total expenditure = 35x

⇒35x + 42 = (x-1) X 42

⇒35x + 42 = 42x –42

⇒7x = 84

⇒x = 12

So, initial expenditure = 12 X 35 = 420

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Filed Under: Average
Exam Prep: Bank Exams

Q:

A man purchased a bullock and a cart for Rs 1800. He sold the bullock at a profit of 20% and the cart at a profit of 30%.His total profit was 155/6 %. Find the cost price of bullock.

A) Rs 650	B) Rs 750
C) Rs 900	D) Rs 800

Answer & Explanation Answer: B) Rs 750

Explanation:

CP of bullock and cart = 1800

Let price of bullock be x and cart be (1800 –x)

SP of bullock and cart = 1800 + 155/6 X 1800 = 2265

Also, 1.2x + 1.3 (1800 –x) = 2265

⇒1.2x –1.3x = -75

⇒x = 750

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Filed Under: Profit and Loss
Exam Prep: Bank Exams

Q:

An article costs Rs 50 presently. The rate of inflation is 300%. What will be cost of this article after two years?

A) Rs 200	B) Rs 600
C) Rs 800	D) Rs 1000

Answer & Explanation Answer: C) Rs 800

Explanation:

$A = P {(1 + r / 100)}^{n} \Rightarrow 50 {(1 + 300 / 100)}^{2} \Rightarrow 50 {(4)}^{2} \Rightarrow 800$

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Filed Under: Compound Interest
Exam Prep: Bank Exams

Q:

Given that tan(θ + 15°) = √3. Then the value of θ is?

A) 15°	B) 75°
C) 45°	D) 65°

Answer & Explanation Answer: C) 45°

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

The least number of square tiles of side 41 cms required to pave the ceiling of a room of size 15m 17cm long and 9m 2 cm broad is:

A) 902	B) 656
C) 738	D) 814

Answer & Explanation Answer: D) 814

Explanation:

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

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